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Simplifying 3(p + 4) + 6p + 2 = 6p + -4 + 5p + 8 Reorder the terms: 3(4 + p) + 6p + 2 = 6p + -4 + 5p + 8 (4 * 3 + p * 3) + 6p + 2 = 6p + -4 + 5p + 8 (12 + 3p) + 6p + 2 = 6p + -4 + 5p + 8 Reorder the terms: 12 + 2 + 3p + 6p = 6p + -4 + 5p + 8 Combine like terms: 12 + 2 = 14 14 + 3p + 6p = 6p + -4 + 5p + 8 Combine like terms: 3p + 6p = 9p 14 + 9p = 6p + -4 + 5p + 8 Reorder the terms: 14 + 9p = -4 + 8 + 6p + 5p Combine like terms: -4 + 8 = 4 14 + 9p = 4 + 6p + 5p Combine like terms: 6p + 5p = 11p 14 + 9p = 4 + 11p Solving 14 + 9p = 4 + 11p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-11p' to each side of the equation. 14 + 9p + -11p = 4 + 11p + -11p Combine like terms: 9p + -11p = -2p 14 + -2p = 4 + 11p + -11p Combine like terms: 11p + -11p = 0 14 + -2p = 4 + 0 14 + -2p = 4 Add '-14' to each side of the equation. 14 + -14 + -2p = 4 + -14 Combine like terms: 14 + -14 = 0 0 + -2p = 4 + -14 -2p = 4 + -14 Combine like terms: 4 + -14 = -10 -2p = -10 Divide each side by '-2'. p = 5 Simplifying p = 5
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